Question : Directions: Three statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
All papers are chair.
Some chairs are ground.
All cats are ground.
Conclusions:
I. Some cats are chairs.
II. Some chairs are not paper.
Option 1: Only conclusion II follows
Option 2: Both conclusions I and II follow
Option 3: Only conclusion I follows
Option 4: Neither conclusion I nor II follows
Correct Answer: Neither conclusion I nor II follows
Solution : The possible Venn diagram according to the given statement is as follows –
Let's analyse the conclusions –
Conclusion I:
Some cats are chairs – From the Venn diagram, it is evident that there is no direct relation between cats and chairs. So, no definite relation can be drawn. Thus, this conclusion does not follow.
Conclusion II:
Some chairs are not paper – It is a possibility that the circle representing chairs is not completely overlapped by the circle representing papers. But this is not definite. Thus, this conclusion does not follow.
So, neither conclusion I nor II follows. Hence, the fourth option is correct.
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